513_Assnmts_files/467 Math ABC Book Example

TED 467
Sergio Alvarez
Maria Campos
Lorena Mendoza
Roberto Rodriguez
Dee Yeh
Axis of Symmetry: The vertical line that passes through the
vertex of a parabola. It divides a parabola into two perfect
halves. Each point on the parabola that is on one side of the axis
of symmetry has a corresponding point on the parabola on the
other side of the axis. You can use the formula
the axis of symmetry for the quadratic function
to find
Binomial: A polynomial with two terms
Circumference: The distance around the outside of a circle. In
the image belo w, it is the distance around the quarter.
Domain: The set of all first coordinates from the ordered pairs
in a relation.
Equation: A mathematical statement showing that two quantities
have the same value by putting a special sign (=) between them.
Factors: The quantities being multiplied in an algebraic
expression. The result is called the product.
3 and 4 are both factors of 12
5 y = 5y
5 and y are both factors of 5y
(5x 7 )(x 6 ) = 5x 13
5x7 and x6 are both factors of 5x13
2y(3y 2 – 7y + 10) = 6y 3 – 14y 2 +20y
2y and 3y2 – 7y + 10 are both factors of 6y3 – 14y2 +20y
(x + 4)(x + 3) = x 2 + 7x + 12
x + 4 and x + 3 are both factors of x2 + 7x + 12
Geometric Sequence: A sequence in which the ratio of
successive terms is a constant r, called the common ratio, where
r≠ 0 and r≠ 1.
Hexigon: A polygon with six sides. In the image below, you can see how bees create
hexagons to build their beehives.
Inequality: The mathematical sentence having the symbols <, ≤,
>, or ≥.
Joint Discontinuity: A discontinuity for which the graph steps
or jumps from one connected piece of the graph to another.
Kite: A quadrilateral with two pairs of equal sides. Each pair
must be adjacent sides (sharing a common vertex) and each pair
must be distinct. That is, the pairs cannot have a side in common.
Some other properties of a kite are:
• Diagonals intersect at a right angles
• Angles between unequal sides are congruent
• Area of a kite is
lengths of the diagonals
, where
and
are the
Leading Coefficient: The coefficient of the first term of a
polynomial in standard form.
Maximum: Either a relative (local) maximum or an absolute
(global) maximum.
Negative exponent: For any nonzero number a and any integer
n, a-n = 1/an.
Octagon: A polygon with eight sides and eight angles.
Parallel Lines: Lines in the same plane that never intersect.
Parallel lines have the same slope. All vertical lines are parallel.
This graph shows a
family of lines whose
slope is 1.
Note that the lines
do not appear to
intersect.
The lines are parallel.
Quadrant: One of the four regions into which the x- and y-axes
divide the coordinate plane.
Radius: A line segment from the center of the circle to any
point on the circle.
Slope-intercept form: An equation of the form y = mx + b,
where m is the slope and b is the y-intercept of a given line.
Trinomial: An algebraic expression consisting of three terms
connected by plus or minus signs.
Union of Inequalities: The graph of a compound inequality
containing the word or. The solution is a solution of either
inequality, not necessarily both. Its graph is the union of the
graphs of the two inequalities. The union can be found by graphing
each inequality.
Venn Diagram: A diagram used to show relationships between
two or more sets
Wavelength: The distance between one peak or crest of a wave
of light, heat, or other energy and the next corresponding peak
or crest.
x - intercept: The coordinate at which a graph intersects the
x-axis.
Y-intercept: The y-coordinate of the point where a line
intersects the y-axis.
Zeros: The solutions of a quadratic function. They are also
known as the roots, or x-intercepts.
To solve the quadratic function f(x) = x2 + 6x – 7, you need to know
where the value of f(x) is 0. This occurs at the x-intercepts. The
x-intercepts of the parabola appear to be -7 and 1.
f(x) = x2 + 6x –
7